Answer: w = 7, x = 6
Step-by-step explanation: Solve by substitution
W + b = 13
rewrite as b = 13 - w and substitute that value for b in the second equation
6.5w + 2b = 57.5 Then solve for w
6.5w + 2(13-w) = 57.5 . Distribute
6.5w + 26 - 2w = 57.5 . Subtract 26 from both sides. Combine like terms and simplify
6.5w - 2w = 57.5 - 26
4.5w = 31.5 Divide both sides by 4.65
w = 7 . Substitute 7 for w in the first equation and solve for b
7 + b = 13 . Subtract 7 from both sides
b = 6
Answer:
156.06 ft²
Step-by-step explanation:
The applicable formula for the area of the triangle is ...
Area = (1/2)bc·sin(A)
Filling in the given numbers, you have ...
Area = (1/2)(30 ft)(14 ft)·sin(48°) ≈ 156.06041335 ft²
The area of the triangle is about 156.06 square feet.
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Sufficient digits are provided here so that you can round to the precision you (or your computer) may desire.
The probability that he first chooses an advanced book and then chooses a beginner book is 6/121.
<h3>Probability</h3>
Given:
Beginner book=2
Intermediate book=6
Instructional piano books=11
Advanced books=3
Hence:
Probability=(2×3)÷(11×11)
Probability=6/121
Therefore the probability that he first chooses an advanced book and then chooses a beginner book is 6/121.
Learn more about probability here: brainly.com/question/24756209
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Answer:
(x - 5) (x + 1)
Step-by-step explanation:
x² - 4x - 5
= x² + x - 5x - 5
= x(x + 1) - 5(x + 1)
= (x - 5) (x + 1)
Answer:
a. They are same side interior angles. Angle A measures 55°.
Step-by-step explanation:
